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Finding the Fourth Proportional to 357,304.62, 493,081.21 and 196,170.04

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Solution

The fourth proportional to 357,304.62, 493,081.21 and 196,170.04 is: 270,715.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,304.62 : 493,081.21 = 196,170.04 : x
  2. Step 2: Convert to fraction form
    357,304.62/493,081.21 = 196,170.04/x
  3. Step 3: Cross multiply
    357,304.62x = 493,081.21 × 196,170.04
  4. Step 4: Simplify right side
    357,304.62x = 96,727,760,688.95
  5. Step 5: Solve for x
    x = 96,727,760,688.95/357,304.62
  6. Step 6: Final answer
    x = 270,715.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.